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153536340 = 223519134681
BaseRepresentation
bin10010010011011…
…00011101010100
3101200220110021010
421021230131110
5303301130330
623122452220
73543015546
oct1111543524
9350813233
10153536340
1179738141
1243504070
1325a69709
1416569696
15d72c3b0
hex926c754

153536340 has 48 divisors (see below), whose sum is σ = 452531520. Its totient is φ = 38787840.

The previous prime is 153536297. The next prime is 153536363. The reversal of 153536340 is 43635351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 153536298 and 153536307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66201 + ... + 68480.

It is an arithmetic number, because the mean of its divisors is an integer number (9427740).

Almost surely, 2153536340 is an apocalyptic number.

153536340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153536340 is an abundant number, since it is smaller than the sum of its proper divisors (298995180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153536340 is a wasteful number, since it uses less digits than its factorization.

153536340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134712 (or 134710 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 153536340 is about 12390.9781696200. The cubic root of 153536340 is about 535.4723635546.

The spelling of 153536340 in words is "one hundred fifty-three million, five hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 134681 269362 404043 538724 673405 808086 1346810 1616172 2020215 2558939 2693620 4040430 5117878 7676817 8080860 10235756 12794695 15353634 25589390 30707268 38384085 51178780 76768170 153536340